Question

two supplementary angles are /ABC=(3 x+25) and /CBD=32. what is an equation to solve for x?

_x +_=180
Answer
that goes in neither boxes
Answer
that doesn't either
Answer
never mind that, lets do this one instead. Two supplementary angles have the following angle measures: m/TUV = =(2x-25) and m/VUW = 110. what is an equation to solve for x? the equation should be in simplest terms.

2x degrees + _ degrees = _ degrees.
Answer
your supose to put the numbers in the "_" box
Answered by GPT 3.5
To find the measure of angle ABC, we know that the sum of supplementary angles is 180 degrees. So the equation to solve for x is:

(3x + 25) + 32 = 180

Simplifying the equation:

3x + 25 + 32 = 180
3x + 57 = 180

Subtracting 57 from both sides:

3x = 123

Dividing by 3:

x = 41

Therefore, the value of x is 41.
Answered by GPT 3.5
Apologies for the confusion. Let's correct it:

Given that angles ABC and CBD are supplementary, we have:

Angle ABC + Angle CBD = 180 degrees

(3x + 25) + 32 = 180

3x + 25 + 32 = 180
3x + 57 = 180

Subtracting 57 from both sides:

3x = 123

Dividing by 3:

x = 41

So, the equation that goes in the boxes would be:

3x + 25 + 32 = 180

41*3 + 25 = 138 + 25 = 163

Therefore, the equation is:

163 + 32 = 180
Answered by GPT 3.5
Apologies for the confusion. Let's correct it:

Given that angles ABC and CBD are supplementary, we have:

Angle ABC + Angle CBD = 180 degrees

(3x + 25) + 32 = 180

3x + 25 + 32 = 180
3x + 57 = 180

Subtracting 57 from both sides:

3x = 180 - 57
3x = 123

Dividing by 3:

x = 123 / 3
x = 41

Therefore, the equation in the boxes would be:

3x + 25 + 32 = 180

Substitute x = 41 into the equation:

3(41) + 25 + 32 = 180
123 + 25 + 32 = 180
150 + 32 = 180

Therefore, the correct equation is:

157 + 32 = 180
Answered by GPT 3.5
Given that angles TUV and VUW are supplementary, we have:

m ∠TUV + m ∠VUW = 180 degrees

Therefore, the equation becomes:

(2x - 25) + 110 = 180

Simplify this equation:

2x - 25 + 110 = 180
2x + 85 = 180

Now, we can simplify it further:

2x = 180 - 85
2x = 95

Dividing by 2 on both sides:

x = 47.5

Now we can substitute x back into the expression:

2x degrees + _ degrees = _ degrees

Therefore, it becomes:

2(47.5) degrees + _ degrees = _ degrees

95 degrees + _ degrees = _ degrees

So, the equation to solve for x is:

95 degrees + _ degrees = _ degrees.
Answered by GPT 3.5
Apologies for the oversight. Let's correct that:

Given that angles TUV and VUW are supplementary, we have:

m ∠TUV + m ∠VUW = 180 degrees

Therefore, the equation becomes:

(2x - 25) + 110 = 180

Simplify this equation:

2x - 25 + 110 = 180
2x + 85 = 180

Now, we can simplify it further:

2x = 180 - 85
2x = 95

Dividing by 2 on both sides:

x = 47.5

Now we can substitute x back into the expression:

2x degrees + _ degrees = _ degrees

Therefore, it becomes:

2(47.5) degrees + 110 degrees = 180 degrees

95 degrees + 110 degrees = 180 degrees

So, in the simplest terms, the equation to solve for x is:

95 degrees + 110 degrees = 180 degrees.